0.003(6-k)+0.09(k-4)=1

Solution for 0.003(6-k)+0.09(k-4)=1 equation:

Simplifying
0.003(6 + -1k) + 0.09(k + -4) = 1
(6 * 0.003 + -1k * 0.003) + 0.09(k + -4) = 1
(0.018 + -0.003k) + 0.09(k + -4) = 1

Reorder the terms:
0.018 + -0.003k + 0.09(-4 + k) = 1
0.018 + -0.003k + (-4 * 0.09 + k * 0.09) = 1
0.018 + -0.003k + (-0.36 + 0.09k) = 1

Reorder the terms:
0.018 + -0.36 + -0.003k + 0.09k = 1

Combine like terms: 0.018 + -0.36 = -0.342
-0.342 + -0.003k + 0.09k = 1

Combine like terms: -0.003k + 0.09k = 0.087k
-0.342 + 0.087k = 1

Solving
-0.342 + 0.087k = 1

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '0.342' to each side of the equation.
-0.342 + 0.342 + 0.087k = 1 + 0.342

Combine like terms: -0.342 + 0.342 = 0.000
0.000 + 0.087k = 1 + 0.342
0.087k = 1 + 0.342

Combine like terms: 1 + 0.342 = 1.342
0.087k = 1.342

Divide each side by '0.087'.
k = 15.42528736

Simplifying
k = 15.42528736